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There had been no indication of domestic violence in Ms Haydar's Bexley home, she said.

When she died, Ms Haydar had been working for Quitline.

Mrs Haydar's death comes nine years after her mother was killed in a bombing in southern Lebanon.

She learned of the loss via a news report.

"They said one of the people that (was) killed was my mum, and they said her name and I just went in shock. Like ... I screamed, I hit myself, I said, `It can't be my mum'," she told ABC's Lateline at the time.

"I can't believe it, I still can't believe it."

Superintendent David Donahue said a post mortem revealed the alleged killing was brutal.

"It was quite a violent attack," he said.

"It's disturbing."

Police have charged Haydar with the murder of his wife and wounding with intent to inflict grievous bodily harm in relation to the injury to his daughter.

The teenager remains in a Sydney hospital where she is being treated by a specialist surgeon.

Haydar will remain in custody following a Kogarah Local Court appearance on Tuesday where he did not apply for bail.

He briefly looked to a group of supporters in court on Tuesday, who left in tears after police led him away.

Magistrate Christine Haskett adjourned the case until April 9 at Central Local Court.

Supt Donahue said police were still searching for a motive.

"(Domestic violence) is a matter that we deal with the most," he said.

"We deal with it every day."

In the 12 months to September 2014, 24 women in NSW were victims of domestic-violence related murders.